[PDF] Top 20 On Some Fractional-Integro Partial Differential Equations
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On Some Fractional-Integro Partial Differential Equations
... Abstract-- In this paper, an inverse optimal control problem is introduced with state function governed by fractional partial differential equation. The existence of the control and necessary ... See full document
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A method for fractional Volterra integro differential equations by Laguerre polynomials
... This problem was also solved by Awawdeh et al. [19] with the homotopy analysis method. They found the approximate solution for N = 5, but they did not state the numer- ical results of the errors of their method. Besides, ... See full document
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Asymptotically periodic solutions of semilinear fractional integro differential equations
... semilinear fractional integro-differential equations in Banach space, where the nonlinear perturbation is S -asymptotically ω -periodic or S -asymptotically ω -periodic in the Stepanov ...proof. ... See full document
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On abstract fractional integro-differential equations via measure of noncompactness
... Abstract. This paper deals with the study of existence, uniqueness and stability of solutions of fractional integro-differential equations involving Caputo derivative in Banach spaces. Our ... See full document
19
A Study on Functional Fractional Integro-Differential Equations of Hammerstein type
... Abstract In this paper, functional Hammerstein integro-differential equations of fractional order is studied. Here the existence and uniqueness of the solution is proved. A numerical method to ... See full document
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The solving integro-differential equations of fractional order with the ultraspherical functions
... linear fractional integro-differential equations of Volterra ...the equations and generat approximations to the lower order derivatives through integration of the higher-order ... See full document
7
On the existence of solutions for some infinite coefficient-symmetric Caputo-Fabrizio fractional integro-differential equations
... Caputo-Fabrizio fractional derivative, we introduce a new operator entitled the infinite coefficient-symmetric Caputo-Fabrizio fractional ...Caputo-Fabrizio fractional integro-differential ... See full document
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Covariance Operators and the Central Limit Theory for "Loop" Markov Chains
... The aim of this paper is to introduce new method for solving a system of linear fractional Integro-differential equations of Volterra (LFIDEV) numerically presented based on B-spline ... See full document
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Abstract Fractional sine transform and Laplace transform are used for solving the Stokes` first problem with
... Fractional partial differential equations have many applications in applied sciences and ...of fractional of fractional partial differential equations of the ... See full document
6
Existence results of solutions for some fractional neutral functional integro-differential equations with infinite delay
... for some fractional neutral functional integro-differential equations involving infinite ...the fractional equations in the sense of Caputo fractional derivative ... See full document
11
Some new existence and uniqueness results of solutions to semilinear impulsive fractional integro differential equations
... We consider the existence and uniqueness of solutions for the boundary value problem of semilinear impulsive integro-differential equations of fractional order q ∈ (1, 2]. Our results are based on the ... See full document
16
Two Very Accurate and Efficient Methods for Solving Time Dependent Problems
... Those papers include solution of partial differential equations [1], two-point boundary value problems [2], integro-differential equations [3], second-kind integral equations [5], Fredho[r] ... See full document
11
Fractional order Euler functions for solving fractional integro differential equations with weakly singular kernel
... called fractional-order Euler functions (FEFs) is constructed to obtain the solution of fractional integro-differential ...the fractional-order Euler functions are utilized to construct the ... See full document
13
On existence results for impulsive fractional neutral stochastic integro differential equations with nonlocal and state dependent delay conditions
... On the one hand, various evolutionary processes from fields in physics, population dy- namics, aeronautics, economics, and engineering are characterized by the fact that they undergo abrupt changes of state at certain ... See full document
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Local existence for an impulsive fractional neutral integro differential system with Riemann–Liouville fractional derivatives in a Banach space
... of fractional neutral integro-differential equations with impulsive outcomes and extend the formula of general solutions for the impulsive fractional neutral integro-differential system ... See full document
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Techniques for Solving a Certain Class of Partial Differential Equation by Fractional Fourier Transform
... developed some basic Solutions on Differential Equations using fractional powers of the Fourier Transform on the Schwartz space (Bailey and Swartzrauber, 1991) compute the Fractional ... See full document
16
The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations
... The differential equations were considered as fractional order differential equations in ...these equations. We applied reverse processes to analytical solutions of some ... See full document
6
On the homogenization of partial integro-differential-algebraic equations
... A detailed discussion of our main result is given in Section 1. In this section we also give an account of the ideas used and compare it to other strategies in the literature. We sketch our plan to achieve our main ... See full document
41
Numerical Solution for Solving a System of Fractional Integro-differential Equations
... We implemented the suggested method with m = 16 and m = 32. The obtained numerical results are shown in Table I and Figs 1-4. In Table I, the absolute error between the exact solution and the approximate solution, at m = ... See full document
7
A modified series solution method for fractional integro differential equations
... It is almost true that most mathematical systems in real life problems are nonlinear in nature. In most of the times a common way of solving such nonlinear problems is to linearize the problem, where we replace the ... See full document
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